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Geometric Analysis Seminar

Mean curvature flows coming out of cones

Letian Chen - Johns Hopkins University

Location:  Hill Center Room 705
Date & time: Tuesday, 31 January 2023 at 2:50PM - 3:50PM

Abstract: We study mean curvature flows (MCFs) coming out of cones. As the cones are singular at the origin, the evolution is generally not unique. A special case of such flows is known as the the self-expanders. We will construct many non-self-similar MCFs coming out of a given cone provided there are more than one (smooth) self-expanders asymptotic to the cone. We will also discuss a classification problem of such flows. In particular we show that, in low dimensions, and when the cones are not too complex, the above solutions are all one gets.

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